Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6705, 6710 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6705 and 6710 is 5.
GCF(6705,6710) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6705
3 | 6705 |
3 | 2235 |
5 | 745 |
149 | 149 |
1 |
Prime factors of 6705 are 3,5,149. Prime factorization of 6705 in exponential form is:
6705 = 32×51×1491
Prime Factorization of 6710
2 | 6710 |
5 | 3355 |
11 | 671 |
61 | 61 |
1 |
Prime factors of 6710 are 2,5,11,61. Prime factorization of 6710 in exponential form is:
6710 = 21×51×111×611
∴ So by taking common prime factors GCF of 6705 and 6710 is 5
Factors of 6705
List of positive integer factors of 6705 that divides 6705 without a remainder.
1,3,5,9,15,45,149,447,745,1341,2235,6705
Factors of 6710
List of positive integer factors of 6710 that divides 6710 without a remainder.
1,2,5,10,11,22,55,61,110,122,305,610,671,1342,3355,6710
Greatest Common Factor
We found the factors and prime factorization of 6705 and 6710. The biggest common factor number is the GCF number.
So the greatest common factor 6705 and 6710 is 5.
Also check out the Least Common Multiple of 6705 and 6710
(i) The GCF of 6705 and 6710 is associative
GCF of 6705 and 6710 = GCF of 6710 and 6705
1. What is the GCF of 6705 and 6710?
Answer: GCF of 6705 and 6710 is 5.
2. What are the Factors of 6705?
Answer: Factors of 6705 are 1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705. There are 12 integers that are factors of 6705. The greatest factor of 6705 is 6705.
3. What are the Factors of 6710?
Answer: Factors of 6710 are 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710. There are 16 integers that are factors of 6710. The greatest factor of 6710 is 6710.
4. How to Find the GCF of 6705 and 6710?
Answer:
Greatest Common Factor of 6705 and 6710 = 5
Step 1: Find the prime factorization of 6705
6705 = 3 x 3 x 5 x 149
Step 2: Find the prime factorization of 6710
6710 = 2 x 5 x 11 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 6705 and 6710 is 5